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Finding the Fourth Proportional to 2,482.92, 3,724.63 and 923.02

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Solution

The fourth proportional to 2,482.92, 3,724.63 and 923.02 is: 1,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.92 : 3,724.63 = 923.02 : x
  2. Step 2: Convert to fraction form
    2,482.92/3,724.63 = 923.02/x
  3. Step 3: Cross multiply
    2,482.92x = 3,724.63 × 923.02
  4. Step 4: Simplify right side
    2,482.92x = 3,437,896.36
  5. Step 5: Solve for x
    x = 3,437,896.36/2,482.92
  6. Step 6: Final answer
    x = 1,384.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.